1. D11.00009-1 4:06–4:18 PM Physikon Research  Notre Dame  Arizona State  NJIT Isotope Effect in High-T C Superconductors Dale R. Harshman Physikon Research Corporation, Lynden, WA Department of Physics, University of Notre Dame, Notre Dame, IN Department of Physics, Arizona State University, Tempe, AZ John D. Dow Department of Physics, Arizona State University, Tempe, AZ Anthony T. Fiory Department of Physics, New Jersey Institute of Technology, Newark, NJ 2008 APS March Meeting Session D11: Inhomogeneous Superconductors and Transport 2:30 PM–5:30 PM, Monday, March 10, 2008 Morial Convention Center - RO9 Abstract: D11.00009 : 4:06–4:18 PM

2. D11.00009-2 4:06–4:18 PM Physikon Research  Notre Dame  Arizona State  NJIT Major Conclusions 1 ●Correct identification of Pr-on-Ba-site defects as responsible for the oxygen isotope effect (OIE) in Pr-doped YBa 2 Cu 3 O 7-δ. ●Doping causes pair breaking that suppresses T C and increases the OIE. ●Monovalent substitutions induce pair breaking due to impurity scattering, which increases the OIE along with reducing T C. ●Heterovalent substitutions induce a greater OIE caused by an additional enhancement in the pair breaking rate which scales with the scattering rate. ●Coulomb interactions govern the high-T C pairing. ●Superconducting hole condensate located in the BaO layers. ___________ 1 Dale R. Harshman et al., Physical Review B 77, 024523 (2008).

3. D11.00009-3 4:06–4:18 PM Physikon Research  Notre Dame  Arizona State  NJIT Researchers based much of their work on Pr doped Y123, Believing that Pr substitutes only for Y, Leading to incorrect theories and conclusions. Misinterpretation of Doping Data Incorrect Assumption (Y 1-x Pr x )Ba 2 Cu 3 O 7-δ → Assume that Pr doped only the Y sites Actual Material (Y 1-x+y Pr x Ba 2-y )Cu 3 O 7-δ → Some (y <5%) of the Pr actually dopes the Ba sites

4. D11.00009-4 4:06–4:18 PM Physikon Research  Notre Dame  Arizona State  NJIT PrBa 2 Cu 3 O 7-δ When grown as is normally done, Pr-on-Ba-site defects Suppress the superconductivity When grown using a traveling solvent floating zone method 1, These defects are minimized Resulting in a T C = 90 K bulk superconductor Therefore, Pr +3 substituting for Y +3 i.e., monovalent substitution Does not affect the superconductivity Like all rare-earth substitutions for Y ______________ 1 Z. Zou, et al., Jpn. J. Appl. Phys. 36, L18 (1997). A. Shukla et al., Phys. Rev. B 59, 12127 (1999).

5. D11.00009-5 4:06–4:18 PM Physikon Research  Notre Dame  Arizona State  NJIT Since Pr +3 substituting for Ba +2 (Heterovalent substitution) Strongly suppresses the superconductivity, The charge on the BaO layer is crucial to SC Problems with Non-Adiabatic Electron-Phonon and Polaron Theories ( e.g., Kresin et al. 1 ) o Incorrect assumption regarding Pr-doped Y123 o Predicts a non-physical singularity at optimum doping o Requires adopting (nonexistent) Jahn-Teller and proximity effects to fit the data o OIE decreases as the material approaches optimum T C …One would expect the opposite ______________ 1 V. Z. Kresin, A. Bill, S. Wolf, Yu. N. Ovchinnikov, Phys. Rev. B 56, 107 (1997).

6. D11.00009-6 4:06–4:18 PM Physikon Research  Notre Dame  Arizona State  NJIT Our Approach ●Correct understanding regarding Pr-doping of Y123 ●Pair breaking generalized to include Nonmagnetic disorder ●Discovered that the OIE can be categorized into Monovalent substitution and Heterovalent substitution ●Superconductive pairing based on Coulomb Interactions

7. D11.00009-7 4:06–4:18 PM Physikon Research  Notre Dame  Arizona State  NJIT Monovalent Substitutions Since the valence is not changed (to first order) by the substitution, the data follow the standard defect-induced pair-breaking form (dashed curve). Overdoped Bi 2 Sr 2 CaCu 2 O 8+δ data fall on the solid (enhanced OIE) line, as predicted. OIE Coefficients – Transition Temperatures These data fall on the higher curve (solid curve). Heterovalent Substitutions In this case, the valence is significantly changed, causing enhanced scattering.

8. D11.00009-8 4:06–4:18 PM Physikon Research  Notre Dame  Arizona State  NJIT Site-specific measurements of OIE coefficient Data show that as Pr-on-Ba- site defects are introduced, the OIE only occurs in the CuO 2 layers. (It is absent in the BaO layers and CuO chains.) Thus, as we change the charge density in the BaO layers, electron-phonon scattering increases in the CuO 2 layers. Data points: H. Keller, Struct. Bond 114, 143 (2005).

9. D11.00009-9 4:06–4:18 PM Physikon Research  Notre Dame  Arizona State  NJIT The OIE in the magnetic penetration depth is found to be constant, with degradation of T C up to 50%, and thus is unrelated to the OIE in T C OIE in the magnetic penetration depth and T C

10. D11.00009-10 4:06–4:18 PM Physikon Research  Notre Dame  Arizona State  NJIT Temperature dependence of the zero-field penetration depth clearly shows that the pairing state is nodeless, best described by the two-fluid model. Physical Review B 69, 174505 (2004); Physical Review B 72, 146502 (2005). Additional experimental information Muon Spin Rotation Measurements

11. D11.00009-11 4:06–4:18 PM Physikon Research  Notre Dame  Arizona State  NJIT Specific Heat and Thermal Conductivity Indicate the presence of a reservoir of normal excitations below T C. International Journal of Modern Physics Letters B 19, 147 (2005). Additional experimental information Specific Heat and Thermal Conductivity

12. D11.00009-12 4:06–4:18 PM Physikon Research  Notre Dame  Arizona State  NJIT Summary and Conclusions 1 ●Monovalent substitution induces impurity scattering, increasing the OIE in T C according to the standard pair breaking formula. ●Heterovalent substitution increases the OIE through an additional enhanced pair breaking which scales with the scattering rate. ●Changing the charge on BaO layer greatly depresses T C and increases the OIE. ●Site-specific OIE data show that Pr-on-Ba-site defects induces increased electron-phonon scattering only in the CuO 2 planes. ●The OIE in the magnetic penetration depth is found to be constant, with degradation of T C up to 50%, and thus is unrelated to the OIE in T C. ●We posit that in a perfect high-T C material, the OIE at optimum stoichiometry is identically zero (the small OIE at optimum stoichiometry arises from the imperfections inherent in the growth process). ●The pairing state is nodeless, best described by the two-fluid model. ●There exists a pool of normal electrons below T C. ●Coulomb interactions involving holes in the BaO layers and normal electrons in the CuO 2 planes (or their equivalent) govern the high-T C mechanism. ___________ 1 Physical Review B 77, 024523 (2008).